100729 has 4 divisors (see below), whose sum is σ = 101376. Its totient is φ = 100084.

The previous prime is 100703. The next prime is 100733. The reversal of 100729 is 927001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 100729 - 2¹⁵ = 67961 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (100769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72 + ... + 454.

It is an arithmetic number, because the mean of its divisors is an integer number (25344).

2¹⁰⁰⁷²⁹ is an apocalyptic number.

It is an amenable number.

100729 is a deficient number, since it is larger than the sum of its proper divisors (647).

100729 is an equidigital number, since it uses as much as digits as its factorization.

100729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 100729 is about 317.3783231413. The cubic root of 100729 is about 46.5284059683.

It can be divided in two parts, 100 and 729, that multiplied together give a square (72900 = 270²).

The spelling of 100729 in words is "one hundred thousand, seven hundred twenty-nine".